211301300000 has 288 divisors, whose sum is σ = 601926474240. Its totient is φ = 71510400000.

The previous prime is 211301299997. The next prime is 211301300011. The reversal of 211301300000 is 3103112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55298090 + ... + 55301910.

It is an arithmetic number, because the mean of its divisors is an integer number (2090022480).

Almost surely, 2^211301300000 is an apocalyptic number.

211301300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211301300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300963237120).

211301300000 is an abundant number, since it is smaller than the sum of its proper divisors (390625174240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211301300000 is an frugal number, since it uses more digits than its factorization.

211301300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 211301300000 its reverse (3103112), we get a palindrome (211304403112).

The spelling of 211301300000 in words is "two hundred eleven billion, three hundred one million, three hundred thousand".